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2 years ago

Use technology or a z-distribution table to find the indicated area.

1 answer:

8 0

Approximately 70% of the visitors to the theme park are older than about 12.3.

A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).

Therefore, we can write and solve the following equation:

(x - 15) / 5.2 = -0.53
x - 15 = -2.756
x = 12.244

The closest amount is 12.3.

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Rewrite in simplest radical form x 5/6 x 1/6

Natasha_Volkova [10]

Answer:

$x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}$

Step-by-step explanation:

Given

$x^{\frac{5}{6}}/x^{\frac{1}{6}}$

Required

Rewrite in simplest radical form

Using laws of indices:

$a^m/a^n = a^{m-n}$

This implies that

$x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}$

Solve Exponents

$x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }$

$x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }$

Simplify exponent to lowest fraction

$x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }$

Using laws of indices:

$a^{\frac{m}{n}} = \sqrt[n]{a^m}$

This implies that

$x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}$

This is as far as the expression can be simplified

3 0

2 years ago

Jane is one of 50 students to take a standardized math test that includes 100 multiple choice questions. If she has the highest

Pepsi [2]

Answer: 87%
Solution:
87 correct questions over 100 = 87/100 = .87 = (change to percent by moving the decimal 2 places to the right) 87%

8 0

2 years ago

A large department store is curious about what sections of the store make the most sales. The manager has data from ten years pr

Snowcat [4.5K]

Answer:

Hypotheses:

H0: There is no difference in the distribution of current sales.

H1: There is a difference in the distribution of current sales.

Enter the test statistic - round to 4 decimal places. 23.0951

Enter the p-value - round to 4 decimal places. 0.0003

Can it be concluded that there is a statistically significant difference in the distribution of sales?

Yes

please mark me brainliest!

7 0

2 years ago

6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

$a=\$4.25$

$b=\$2.25$

$c=\$4.00/lb$

we know that

He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

$a+b+cx \leq 8$

substitute the given values

$4.25+2.25+4.00x \leq 8$

Solve for x

Combine like terms

$6.50+4.00x \leq 8$

Subtract 6.50 both sides

$4.00x \leq 8-6.50$

$4.00x \leq 1.50$

Divide by 4 both sides

$x \leq 1.50/4.00$

$x \leq 0.375\ lbs$

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0

2 years ago

A truck delivers 478 dozen eggs to stores in one day. Write an expression that finds the number of eggs the truck delivers in on

7nadin3 [17]

478*12= answer which the answer is: 5736

4 0

2 years ago

Read 2 more answers